Question

Reduce the given fraction to an equivalent fraction in lowest terms. $$\frac{9}{15}$$

Short answer

Question: Reduce the fraction 9/15 to its lowest terms. Answer: The fraction 9/15 reduced to its lowest terms is 3/5.

Step-by-step solution

Find the GCD of the numerator and denominator

In the given fraction, the numerator and denominator are 9 and 15 respectively. The factors of 9 are 1, 3, and 9, while the factors of 15 are 1, 3, 5, and 15. The common factors are 1 and 3, and the greatest of these is 3. Therefore, the GCD of 9 and 15 is 3.

Divide the numerator and denominator by the GCD

Divide the numerator 9 by the GCD (3): \(\frac{9}{3} = 3\). Divide the denominator 15 by the GCD (3): \(\frac{15}{3} = 5\).

Write the equivalent fraction in lowest terms

After dividing the numerator and denominator by their GCD, we get the equivalent fraction in lowest terms: $$\frac{3}{5}$$.